Can someone help with this decision tree?

1)MicroProducts, Incorporated (MPI), manufactures printed circuit boards for a major PC manufacturer.Beforeaboardissenttothecustomer,threekeycomponentsmustbetested. Thesecomponentscanbetestedinanyorder.Ifanyofthecomponentsfail,theentireboard must be scrapped. The costs of testing the three components are provided in the following table, along with the probability of each component failing thetest:

Component Cost of Test Probability of Failure

X $1.75 .125

Y $2.00 .075

Z $2.40 .140

a.decision tree for this problem that could be used to determine the order in whichthecomponentsshouldbetestedtominimizetheexpectedcostofperforming the tests. Draw this tree by hand and include it along with yoursubmission.

Do not put any numbers (probabilities, costs, etc.) on yourdrawing.

The tree should show the structure and logic of the decisionprocess.

Distinguishing between decision and chance nodes, and naming the various nodes and branches, iscritical.

Createatreethatisasgeneralaspossible-donoteliminatecertainbranches from consideration because of the specific values of the inputs as presented in the case.

Recall that the key to success is determining what decision/event happens first, and then building out the tree in sequentialorder.

b.Implement your tree from part a in Precision Tree. Print the tree out in a single page and include it along with yoursubmission.

c.State the optimal decision strategy regarding the order in which the components be tested?

d.What is the expected cost of performing the tests in thissequence?